Given: Comparison of O-O bond length in H2O2 and F2O2, and comparison of O-H bond length in H2O2 with O-F bond length in F2O2.
Find: The correct values of X and Y.
From the solution:
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For the O-O bond, the explanation states that in F2O2, fluorine pulls electron density more strongly, and the conclusion given is that the O-O bond length in H2O2 is longer than in F2O2. Hence, X=longer.
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For the second comparison, the solution explicitly concludes that the O-H bond length in H2O2 is shorter than the O-F bond length in F2O2. Hence, Y=shorter.
Therefore, the pair is X=longer and Y=shorter.
This corresponds to option D as listed in the options.
Discrepancy note: the solution says "The Correct Option is C", but the written conclusion immediately below states "This corresponds to option (4)", which matches option D in the given list. The detailed conclusion is more consistent with the worked explanation, so the correct answer is taken as D.